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Finding the Fourth Proportional to 311,689.63, 429,932.23 and 216,161.47

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Solution

The fourth proportional to 311,689.63, 429,932.23 and 216,161.47 is: 298,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,689.63 : 429,932.23 = 216,161.47 : x
  2. Step 2: Convert to fraction form
    311,689.63/429,932.23 = 216,161.47/x
  3. Step 3: Cross multiply
    311,689.63x = 429,932.23 × 216,161.47
  4. Step 4: Simplify right side
    311,689.63x = 92,934,782,837.18
  5. Step 5: Solve for x
    x = 92,934,782,837.18/311,689.63
  6. Step 6: Final answer
    x = 298,164.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.